{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exploring the Lorenz System of Differential Equations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this Notebook we explore the Lorenz system of differential equations:\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\dot{x} & = \\sigma(y-x) \\\\\n",
    "\\dot{y} & = \\rho x - y - xz \\\\\n",
    "\\dot{z} & = -\\beta z + xy\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "This is one of the classic systems in non-linear differential equations. It exhibits a range of different behaviors as the parameters (\\\\(\\sigma\\\\), \\\\(\\beta\\\\), \\\\(\\rho\\\\)) are varied."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we import the needed things from IPython, NumPy, Matplotlib and SciPy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from ipywidgets import interactive\n",
    "from IPython.display import display"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy import integrate\n",
    "\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Computing the trajectories and plotting the result"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We define a function that can integrate the differential equations numerically and then plot the solutions. This function has arguments that control the parameters of the differential equation (\\\\(\\sigma\\\\), \\\\(\\beta\\\\), \\\\(\\rho\\\\)), the numerical integration (`N`, `max_time`) and the visualization (`angle`)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def solve_lorenz(N=10, angle=0.0, max_time=4.0, sigma=10.0, beta=8.0 / 3, rho=28.0):\n",
    "    fig = plt.figure()\n",
    "    ax = fig.add_axes([0, 0, 1, 1], projection=\"3d\")\n",
    "    ax.axis(\"off\")\n",
    "\n",
    "    # prepare the axes limits\n",
    "    ax.set_xlim((-25, 25))\n",
    "    ax.set_ylim((-35, 35))\n",
    "    ax.set_zlim((5, 55))\n",
    "\n",
    "    def lorenz_deriv(x_y_z, t0, sigma=sigma, beta=beta, rho=rho):\n",
    "        \"\"\"Compute the time-derivative of a Lorenz system.\"\"\"\n",
    "        x, y, z = x_y_z\n",
    "        return [sigma * (y - x), x * (rho - z) - y, x * y - beta * z]\n",
    "\n",
    "    # Choose random starting points, uniformly distributed from -15 to 15\n",
    "    np.random.seed(1)\n",
    "    x0 = -15 + 30 * np.random.random((N, 3))\n",
    "\n",
    "    # Solve for the trajectories\n",
    "    t = np.linspace(0, max_time, int(250 * max_time))\n",
    "    x_t = np.asarray([integrate.odeint(lorenz_deriv, x0i, t) for x0i in x0])\n",
    "\n",
    "    # choose a different color for each trajectory\n",
    "    colors = plt.cm.viridis(np.linspace(0, 1, N))\n",
    "\n",
    "    for i in range(N):\n",
    "        x, y, z = x_t[i, :, :].T\n",
    "        lines = ax.plot(x, y, z, \"-\", c=colors[i])\n",
    "        plt.setp(lines, linewidth=2)\n",
    "\n",
    "    ax.view_init(30, angle)\n",
    "    plt.show()\n",
    "\n",
    "    return t, x_t"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's call the function once to view the solutions. For this set of parameters, we see the trajectories swirling around two points, called attractors. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "t, x_t = solve_lorenz(angle=0, N=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using IPython's `interactive` function, we can explore how the trajectories behave as we change the various parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "dafade22087f4e0f835744b3bccf802f",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(IntSlider(value=10, description='N', max=50), FloatSlider(value=0.0, description='angle'…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "w = interactive(\n",
    "    solve_lorenz,\n",
    "    angle=(0.0, 360.0),\n",
    "    max_time=(0.1, 4.0),\n",
    "    N=(0, 50),\n",
    "    sigma=(0.0, 50.0),\n",
    "    rho=(0.0, 50.0),\n",
    ")\n",
    "display(w)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The object returned by `interactive` is a `Widget` object and it has attributes that contain the current result and arguments:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "t, x_t = w.result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'N': 10,\n",
       " 'angle': 0.0,\n",
       " 'max_time': 4.0,\n",
       " 'sigma': 10.0,\n",
       " 'beta': 2.6333333333333333,\n",
       " 'rho': 28.0}"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "w.kwargs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After interacting with the system, we can take the result and perform further computations. In this case, we compute the average positions in \\\\(x\\\\), \\\\(y\\\\) and \\\\(z\\\\)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "xyz_avg = x_t.mean(axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(10, 3)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xyz_avg.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Creating histograms of the average positions (across different trajectories) show that on average the trajectories swirl about the attractors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(xyz_avg[:, 0])\n",
    "plt.title(\"Average $x(t)$\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(xyz_avg[:, 1])\n",
    "plt.title(\"Average $y(t)$\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
